document.write( "Question 159014: (W+2)/(2W-2)=5 can you help solve for W in the steps so I can learn? \n" ); document.write( "
Algebra.Com's Answer #117122 by midwood_trail(310) ![]() You can put this solution on YOUR website! (W+2)/(2W-2)= 5 Can you help solve for W in steps so I can learn?\r \n" ); document.write( "\n" ); document.write( "What we have here is called a fractional equation.\r \n" ); document.write( "\n" ); document.write( "It's called fractional because the left side is a fraction. See it?\r \n" ); document.write( "\n" ); document.write( "To remove that ugly fraction, we multiply both sides of the equation by the denominator, which is (2W - 2).\r \n" ); document.write( "\n" ); document.write( "(2W-2) times [(W+2)/(2W-2)] = 5 times (2W-2)\r \n" ); document.write( "\n" ); document.write( "Proceed the same way you would handle regular fractions.\r \n" ); document.write( "\n" ); document.write( "On the left side, we cancel out anything that looks the same.\r \n" ); document.write( "\n" ); document.write( "Do you see what I mean?\r \n" ); document.write( "\n" ); document.write( "The quantity (2W-2) cancels out on the left side leaving us with \n" ); document.write( "the quantity (W+2).\r \n" ); document.write( "\n" ); document.write( "On the right side, we use the distributive rule. \r \n" ); document.write( "\n" ); document.write( "Do you know what this means?\r \n" ); document.write( "\n" ); document.write( "On the right side, we multiply 5 by EVERY term inside the quantity (2W-2).\r \n" ); document.write( "\n" ); document.write( "Step by step:\r \n" ); document.write( "\n" ); document.write( "5(2W-2) = \r \n" ); document.write( "\n" ); document.write( "5 times 2W = 10W\r \n" ); document.write( "\n" ); document.write( "5 times -2 = -10\r \n" ); document.write( "\n" ); document.write( "On the right side, we now have this: 10W - 10.\r \n" ); document.write( "\n" ); document.write( "Here is what your original equation has become:\r \n" ); document.write( "\n" ); document.write( "W + 2 = 10W - 10\r \n" ); document.write( "\n" ); document.write( "Are you with me so far?\r \n" ); document.write( "\n" ); document.write( "Notice that your fractional equation has now become a linear equation.\r \n" ); document.write( "\n" ); document.write( "We now simply solve for x. Don't forget to combine like terms!\r \n" ); document.write( "\n" ); document.write( "W - 10W = -2 - 10\r \n" ); document.write( "\n" ); document.write( "-9W = -12\r \n" ); document.write( "\n" ); document.write( "To find the value of W, we now divide both sides of the equation by -9.\r \n" ); document.write( "\n" ); document.write( "W = -12/-9\r \n" ); document.write( "\n" ); document.write( "W = 12/9\r \n" ); document.write( "\n" ); document.write( "Of course, your teacher may want you to reduce 12/9 to the lowest term.\r \n" ); document.write( "\n" ); document.write( "In that case, 12/9 is reduced to 4/3.\r \n" ); document.write( "\n" ); document.write( "Final answer: W = 4/3\r \n" ); document.write( "\n" ); document.write( "Did you follow?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |